BiCGStab, VPAStab and an adaptation to mildly nonlinear systems.
Graves-Morris, Peter R.
Graves-Morris, Peter R.
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2007
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Abstract
The key equations of BiCGStab are summarised to show its connections with Pade and vector-Pade approximation. These considerations lead naturally to stabilised vector-Pade approximation of a vector-valued function (VPAStab), and an algorithm for the acceleration of convergence of a linearly generated sequence of vectors. A generalisation of this algorithm for the acceleration of convergence of a nonlinearly generated system is proposed here, and comparative numerical results are given.
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Graves-Morris, P.R. (2007). BiCGStab, VPAStab and an adaptation to mildly nonlinear systems. Journal of Computational and Applied Mathematics. Vol. 201, No. 1, pp. 284-299.
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